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Apr 11, 2021 at 13:59 comment added Meep I'm also a grad student in a different continent to where my family are, and I spend some vacation time with them. You are abslutely right that if you want vacation time to 'get away from work', then something is wrong in your attitude to work. If, however, you want vacation to have time for other things and people that you love; things which complete you in ways that work doesn't, then it's absolutely fine to want a decent vacation time. As passionate as I am about math, I would want at least 5 weeks of vacation each year - and yes I would still work while away. I get the 'sick' feeling too.
Apr 11, 2021 at 13:55 comment added Meep It need not be an aversion to work at all. I love what I do (also mathematics PhD) but I also have other passions. I love seeing the world, experiencing different cultures, meeting people in different countries, and immersing myself in nature. The latter I find is really essential for my well-being. Being a grad student in a city from where I have to drive 3 hours to get to the closest forest/mountain/nature reserve etc means that escapes to nature aren't something I can do very often and it really is better to take dedicated vacation time for this.
Nov 21, 2013 at 2:33 comment added tqw +1 for "I feel ill if I can't find a way to think about mathematics at least a few hours every day." Sleeping in the daytime really makes one feel void and even more tired...
Jul 24, 2013 at 0:53 history answered paul garrett CC BY-SA 3.0